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Finding the Third Proportional to 152,746,984.50 and 340,067,199

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Solution

The third proportional to 152,746,984.50 and 340,067,199 is: 757,106,270.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,746,984.50 : 340,067,199 = 340,067,199 : x
  2. Step 2: Convert to fraction form
    152,746,984.50/340,067,199 = 340,067,199/x
  3. Step 3: Cross multiply
    152,746,984.50x = 340,067,199 × 340,067,199
  4. Step 4: Simplify right side
    152,746,984.50x = 115,645,699,835,705,600
  5. Step 5: Solve for x
    x = 115,645,699,835,705,600/152,746,984.50
  6. Step 6: Final answer
    x = 757,106,270.96

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.